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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17222383 |
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| _version_ | 1866901857870282752 |
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| author | Arneth, Borros |
| author_facet | Arneth, Borros |
| contents | <p><span lang="EN-US">We propose that the Rydberg constant, typically associated with the hydrogen spectrum, functions in a deeper theoretical framework as a universal mass–entropy coupling constant — analogous to gauge coupling constants — converting combinatorial microstate counts into physical rest masses. In this view, each bound system (electromagnetic, strong, gravitational) carries its own “Rydberg-like” constant proportional to the square of its interaction coupling. The hydrogen Rydberg is then simply the U(1) case where the electron’s coupling and reduced mass set the scale. Within a diagrammatic Hilbert-space framework, this reinterpretation arises naturally: particle masses map to partition functions via a universal proportionality constant, and different force sectors generate analogous constants via their loop entropies. This offers a unified origin for coupling and mass constants, merging microscopic combinatorics, entropic reasoning, and known spectra.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17222383 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universal Coupling Constants from Diagrammatic Entropy: Rydbergs, Gravity, and Beyond Arneth, Borros <p><span lang="EN-US">We propose that the Rydberg constant, typically associated with the hydrogen spectrum, functions in a deeper theoretical framework as a universal mass–entropy coupling constant — analogous to gauge coupling constants — converting combinatorial microstate counts into physical rest masses. In this view, each bound system (electromagnetic, strong, gravitational) carries its own “Rydberg-like” constant proportional to the square of its interaction coupling. The hydrogen Rydberg is then simply the U(1) case where the electron’s coupling and reduced mass set the scale. Within a diagrammatic Hilbert-space framework, this reinterpretation arises naturally: particle masses map to partition functions via a universal proportionality constant, and different force sectors generate analogous constants via their loop entropies. This offers a unified origin for coupling and mass constants, merging microscopic combinatorics, entropic reasoning, and known spectra.</span></p> |
| title | Universal Coupling Constants from Diagrammatic Entropy: Rydbergs, Gravity, and Beyond |
| url | https://doi.org/10.5281/zenodo.17222383 |